# A mathematician writes numbers on a cube. On each face the mathematician writes...........what is the sum of all faces?

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A mathematician writes numbers on a cube. On each face the mathematician writes a positive integer. On each vertex the mathematician writes the product of its three adjacent faces.

If the sum of all vertices is 154, what is the sum of all faces?

(For clarification: a positive integer is a whole number greater than zero, such as 1, 2, 3, …)

posted May 19, 2020
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